Solve {l}{1/4*3,14*(5*10^-3)^2*0.5}{*60*10^3}

$$\left. \begin{array} { l } { \frac { 1 } { 4 } \times 3,14 \times ( 5 \times 10 ^ { - 3 } ) ^ { 2 } \times 0.5 } \\ { \times 60 \times 10 ^ { 3 } } \end{array} \right.$$

Sort

$$0.75,10.5$$

Solution Steps

Multiply \frac{1}{4} and 3 to get \frac{3}{4}.

$$sort(\frac{3}{4},14\times \left(5\times 10^{-3}\right)^{2}\times 0.5\times 60\times 10^{3})$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$sort(\frac{3}{4},14\times \left(5\times \frac{1}{1000}\right)^{2}\times 0.5\times 60\times 10^{3})$$

Multiply 5 and \frac{1}{1000} to get \frac{1}{200}.

$$sort(\frac{3}{4},14\times \left(\frac{1}{200}\right)^{2}\times 0.5\times 60\times 10^{3})$$

Calculate \frac{1}{200} to the power of 2 and get \frac{1}{40000}.

$$sort(\frac{3}{4},14\times \frac{1}{40000}\times 0.5\times 60\times 10^{3})$$

Multiply 14 and \frac{1}{40000} to get \frac{7}{20000}.

$$sort(\frac{3}{4},\frac{7}{20000}\times 0.5\times 60\times 10^{3})$$

Multiply \frac{7}{20000} and 0.5 to get \frac{7}{40000}.

$$sort(\frac{3}{4},\frac{7}{40000}\times 60\times 10^{3})$$

Multiply \frac{7}{40000} and 60 to get \frac{21}{2000}.

$$sort(\frac{3}{4},\frac{21}{2000}\times 10^{3})$$

Calculate 10 to the power of 3 and get 1000.

$$sort(\frac{3}{4},\frac{21}{2000}\times 1000)$$

Multiply \frac{21}{2000} and 1000 to get \frac{21}{2}.

$$sort(\frac{3}{4},\frac{21}{2})$$

Least common denominator of the numbers in the list \frac{3}{4},\frac{21}{2} is 4. Convert numbers in the list to fractions with denominator 4.

$$\frac{3}{4},\frac{42}{4}$$

Evaluate

$$0.75,10.5$$